978099053568 has 352 divisors, whose sum is σ = 3253861416960. Its totient is φ = 254321786880.

The previous prime is 978099053549. The next prime is 978099053573. The reversal of 978099053568 is 865350990879.

It is a super-3 number, since 3×978099053568³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19823553 + ... + 19872831.

It is an arithmetic number, because the mean of its divisors is an integer number (9243924480).

Almost surely, 2^978099053568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978099053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626930708480).

978099053568 is an abundant number, since it is smaller than the sum of its proper divisors (2275762363392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

978099053568 is a wasteful number, since it uses less digits than its factorization.

978099053568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49393 (or 49375 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 69.

The spelling of 978099053568 in words is "nine hundred seventy-eight billion, ninety-nine million, fifty-three thousand, five hundred sixty-eight".